Ultragraphs and shift spaces over infinite alphabets

DOI10.1016/j.bulsci.2016.10.002zbMath1373.37032arXiv1510.04649OpenAlexW2963762862MaRDI QIDQ503978

Daniel Gonçalves, Danilo Royer

Publication date: 24 January 2017

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04649

zbMATH Keywords

partial crossed productultragraph \(C^\ast\)-algebrainfinite alphabetone-sided shift spacesymbolic dynamic

Mathematics Subject Classification ID

Related Items (18)

KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks ⋮ TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS ⋮ The interplay between Steinberg algebras and skew rings ⋮ Realizing ultragraph Leavitt path algebras as Steinberg algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS VIA PARTIAL SKEW GROUP RING THEORY ⋮ Li-Yorke chaos for ultragraph shift spaces ⋮ KMS and ground states on ultragraph \( C^*\)-algebras ⋮ Continuous shift commuting maps between ultragraph shift spaces ⋮ Recent developments around partial actions ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Ultragraph shift spaces and chaos ⋮ Purely infinite simple ultragraph Leavitt path algebras ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics ⋮ The dynamics of partial inverse semigroup actions

Cites Work

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• \((M + 1)\)-step shift spaces that are not conjugate to \(M\)-step shift spaces
• Sliding block codes between shift spaces over infinite alphabets
• Simplicity of ultragraph algebras
• Ultragraph C^*-algebras via topological quivers
• TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS
• A note on the definition of sliding block codes and the Curtis-Hedlund-Lyndon Theorem
• One-sided shift spaces over infinite alphabets

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